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Nilesh bought some quantity of barley for ₹5,000. Half of it is sold at a profit of 20%. If Nilesh wishes to make a profit of 15% on the whole, find t
Question

Nilesh bought some quantity of barley for ₹5,000. Half of it is sold at a profit of 20%. If Nilesh wishes to make a profit of 15% on the whole, find the selling price (in ₹) of the remaining barley.

A.

2,500

B.

3,250

C.

2,750

D.

3,000

Correct option is C

Given:

Cost price of barley = ₹5,000

Half of the barley is sold at a profit of 20%.

Overall desired profit = 15%.

Formula Used:

Selling Price of Remaining Barley = Overall Selling Price − Selling Price of First Half

Overall Selling Price = Cost Price × (1+100Profit Percentage\frac{100}{Profit \ Percentage}​)

Solution:

Cost Price of Half the Barley = 5,0002\frac{5,000}2​ = 2,500

Selling Price of First Half = 2,500 × (1 + 20100\frac{20}{100}​)

= 2,500 × 1.2

= 3,000

Overall Selling Price:

= 5,000 ×  (1 + 15100\frac{15}{100​}​)

= 5,000 × 1.15

= 5,750

Selling Price of Remaining Barley = 5,750 − 3,000 = ₹2,750 

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